Two waves on a string are given by the following functions: y,(x,t) = 4cos(20t–30x) (cm) y,(x,t) = -4cos(20t+30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition ly, = ly,+y,l is a maximum, and they interfere destructively when ly,l is a minimum. (a) What are the directions of propagation of waves y,(x,t) and y,(x,t)? %3D (b) At t = (n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of ly,1? (c) At t = (T/50) s, at what location x do the two waves interfere destructively, and what is the corresponding value of ly 1?

Two waves on a string are given by the following functions: y,(x,t) = 4cos(20t–30x) (cm) y,(x,t) = -4cos(20t+30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition ly, = ly,+y,l is a maximum, and they interfere destructively when ly,l is a minimum. (a) What are the directions of propagation of waves y,(x,t) and y,(x,t)? %3D (b) At t = (n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of ly,1? (c) At t = (T/50) s, at what location x do the two waves interfere destructively, and what is the corresponding value of ly 1?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 111P: Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a...

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